Surpassing the fractional derivative: Concept of the memory-dependent derivative

By Jin-Liang Wang, Huifeng Li. Computers and Mathematics with Applications, 2011

441 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/f0837ab6c92063d47ed14d48c573acd18a8a61e6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Alaa A. El-Bary
2. Ahmed S. El-Karamany
3. Y. Yu
4. Xinran Liu
5. Magdy A. Ezzat
6. X. Tian

In Modeling and Simulation

1. Alaa A. El-Bary
2. Ahmed S. El-Karamany
3. Y. Yu
4. X. Tian
5. Xinran Liu
6. Magdy A. Ezzat
7. Mohsen Fayik

Citations in the corpus

• Generalized thermoelasticity with memory-dependent derivatives involving two temperatures (2016, background): “Wang and Li [18] indicated that the memory effect requires weight 0 ≤ K(t − ξ ) ≤ 1 for ξ ∈ [t − ω, t ), so that the magnitude of memory-dependent derivative, Dω f (x, t ), is usually smaller than that of the common partial derivative ∂ f (x,t ) ∂t .”
• Size-dependent generalized thermoelasticity using Eringen's nonlocal model (2015, methodology): “which is the m order MDD of function f(t), and the Kernel functions are suggested by Wang and Li (2011) as:”